Relatively free associative Lie nilpotent algebras of rank 3

DOI10.33048/semi.2019.16.139zbMath1439.17014OpenAlexW3016116371MaRDI QIDQ2285203

Sergey V. Pchelintsev

Publication date: 16 January 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.139

zbMATH Keywords

associative Lie nilpotent algebraidentity in three variablestorsion of free ring

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Free nonassociative algebras (17A50)

Related Items

Finitely based \(T\)-spaces of free Lie nilpotent algebras of rank 2, On identities of model algebras, Product theorems for alternative algebras and some of their applications, Frobenius relations for associative Lie nilpotent algebras, On the \(\mathrm{GL}(n)\)-module structure of Lie nilpotent associative relatively free algebras

Cites Work

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• Lie ideals in group rings
• On the Lie ideals of a ring
• On T-spaces and relations in relatively free Lie nilpotent associative algebras.
• Lower central series of a free associative algebra over the integers and finite fields.
• Lower central series of free algebras in symmetric tensor categories.
• The additive group of a Lie nilpotent associative ring.
• On centres of relatively free associative algebras with a Lie nilpotency identity
• Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6
• Codimension Growth of Strong Lie Nilpotent Associative Algebras
• On the Lower Central Factors of a Free Associative Ring
• The Polynomial Identities of the Grassman Algebra
• Some products of commutators in an associative ring
• On rings whose associated Lie rings are nilpotent